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A note on the ( ,n) –category of cobordisms , volume=

3 Pith papers cite this work. Polarity classification is still indexing.

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Structured Quotients in Real Homotopy Theory

math.AT · 2026-06-24 · unverdicted · novelty 6.0

Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.

Structured Real Snaith Equivalences

math.AT · 2026-06-22 · unverdicted · novelty 5.0

Short proof of Real Snaith equivalences via Wilson spaces yields E6 orientations, recovers E2ρ-structure on Real BP, and computes THR(KUR) and THR(MUPR) using a norm-inverted variant via nilpotence.

Topological Field Theories and the Algebraic Structures of the Two-Sphere

math.AT · 2026-05-20 · unverdicted · novelty 5.0

Defines equivalent P-monoids and L-monoids for S^2 bordisms in Cob(3) that add prime 3-manifold labeled endomorphisms or units to commutative Frobenius monoids, with legs relations forcing simplification to prime unit multiplications in algebras.

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Showing 3 of 3 citing papers after filters.

  • Structured Quotients in Real Homotopy Theory math.AT · 2026-06-24 · unverdicted · none · ref 170

    Authors construct ring involution structures on quotients of Real bordism, orient Lubin-Tate theory via truncated Brown-Peterson spectra, and characterize equivalences after chromatic localization.

  • Structured Real Snaith Equivalences math.AT · 2026-06-22 · unverdicted · none · ref 163

    Short proof of Real Snaith equivalences via Wilson spaces yields E6 orientations, recovers E2ρ-structure on Real BP, and computes THR(KUR) and THR(MUPR) using a norm-inverted variant via nilpotence.

  • Topological Field Theories and the Algebraic Structures of the Two-Sphere math.AT · 2026-05-20 · unverdicted · none · ref 15

    Defines equivalent P-monoids and L-monoids for S^2 bordisms in Cob(3) that add prime 3-manifold labeled endomorphisms or units to commutative Frobenius monoids, with legs relations forcing simplification to prime unit multiplications in algebras.